Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128bb |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
20197632 = 28 · 3 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,0] |
[a1,a2,a3,a4,a6] |
j |
137842000/78897 |
j-invariant |
L |
3.7012240865034 |
L(r)(E,1)/r! |
Ω |
1.8506120432671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256n1 111384m1 |
Quadratic twists by: -4 -3 |